** Geometry sketch pad **allows many approaches of
solving the above problem for a variety level of students.

-Less experienced students may take a hit or miss approach taking advantage of an electronic

drawing program's forgiving features.

-Immediate or advanced students may take a logical or even an analytical approach to produce exact

results.

Notice below , the isosceles triangle formed from midpoints
and radii of the circles in question. Notice also, that the created
*tangent *circle with point E is divided

into 6 equal pieces by the three intersecting lines. Further finding relationships of this type (triangles, circles, and parallelsim) is a continuing challenging feat.